137914991054400

Names of 137914991054400

• Cardinal: 137914991054400 can be written as One hundred thirty-seven trillion, nine hundred fourteen billion, nine hundred ninety-one million, fifty-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.379149910544 × 10¹⁴

Factors of 137914991054400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 60784

Divisors of 137914991054400

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 73 75 80 84 96 100 105 112 120 140 146 150 160 168 175 192 200 210 219 224 240 280 292 300 320 336 350 365 400 420 438 448 480 511 525 560 584 600 672 700 730 800 840 876 941 960 1022 1050 1095 1120 1168 1200 1344 1400 1460 1533 1600 1680 1752 1825 1882 2044 2100 2190 2240 2336 2400 2555 2800 2823 2920 3066 3360 3504 3650 3764 4088 4200 4380 4672 4705 4800 5110 5475 5600 5646 5840 6132 6587 6720 7008 7300 7528 7665 8176 8400 8760 9410 10220 10950 11200 11292 11680 12264 12775 13174 14016 14115 14600 15056 15330 16352 16800 17520 18820 19761 20440 21900 22584 23360 23525 24528 25550 26348 28230 29200 30112 30660 32704 32935 33600 35040 37640 38325 39522 40880 43800 45168 47050 49056 51100 52696 56460 58400 59753 60224 61320 65870 68693 70080 70575 75280 76650 79044 81760 87600 90336 94100 98112 98805 102200 105392 112920 116800 119506 122640 131740 137386 141150 150560 153300 158088 163520 164675 175200 179259 180672 188200 197610 204400 206079 210784 225840 239012 245280 263480 274772 282300 298765 301120 306600 316176 329350 343465 350400 358518 376400 395220 408800 412158 418271 421568 451680 478024 480851 490560 494025 526960 549544 564600 597530 613200 632352 658700 686930 717036 752800 790440 817600 824316 836542 896295 903360 956048 961702 988050 1030395 1053920 1099088 1129200 1195060 1226400 1254813 1264704 1317400 1373860 1434072 1442553 1493825 1505600 1580880 1648632 1673084 1717325 1792590 1912096 1923404 1976100 2060790 2091355 2107840 2198176 2258400 2390120 2404255 2452800 2509626 2634800 2747720 2868144 2885106 2987650 3161760 3297264 3346168 3434650 3585180 3824192 3846808 3952200 4121580 4182710 4361969 4396352 4481475 4516800 4780240 4808510 5019252 5151975 5269600 5495440 5736288 5770212 5975300 6274065 6323520 6594528 6692336 6869300 7170360 7212765 7693616 7904400 8243160 8365420 8723938 8962950 9560480 9617020 10038504 10303950 10456775 10539200 10990880 11472576 11540424 11950600 12021275 12548130 13085907 13189056 13384672 13738600 14340720 14425530 15387232 15808800 16486320 16730840 17447876 17925900 19120960 19234040 20077008 20607900 20913550 21809845 21981760 23080848 23901200 24042550 25096260 26171814 26769344 27477200 28681440 28851060 30533783 30774464 31370325 31617600 32972640 33461680 34895752 35851800 36063825 38468080 40154016 41215800 41827100 43619690 46161696 47802400 48085100 50192520 52343628 54954400 56227573 57362880 57702120 61067566 62740650 65429535 65945280 66923360 69791504 71703600 72127650 76936160 80308032 82431600 83654200 87239380 91601349 92323392 95604800 96170200 100385040 104687256 109049225 109908800 112455146 115404240 122135132 125481300 130859070 133846720 139583008 143407200 144255300 152668915 153872320 164863200 167308400 168682719 174478760 183202698 192340400 200770080 209374512 218098450 224910292 230808480 244270264 250962600 261718140 279166016 281137865 286814400 288510600 305337830 327147675 329726400 334616800 337365438 348957520 366405396 384680800 393593011 401540160 418749024 436196900 449820584 458006745 461616960 488540528 501925200 523436280 562275730 577021200 610675660 654295350 669233600 674730876 697915040 732810792 763344575 769361600 787186022 837498048 843413595 872393800 899641168 916013490 977081056 1003850400 1046872560 1124551460 1154042400 1180779033 1221351320 1308590700 1349461752 1395830080 1405689325 1465621584 1526689150 1574372044 1686827190 1744787600 1799282336 1832026980 1954162112 1967965055 2007700800 2093745120 2249102920 2290033725 2308084800 2361558066 2442702640 2617181400 2698923504 2811378650 2931243168 3053378300 3148744088 3373654380 3489575200 3598564672 3664053960 3935930110 4104612829 4187490240 4217067975 4498205840 4580067450 4723116132 4885405280 5234362800 5397847008 5622757300 5862486336 5903895165 6106756600 6297488176 6747308760 6979150400 7328107920 7871860220 8209225658 8434135950 8996411680 9160134900 9446232264 9770810560 9839825275 10468725600 10795694016 11245514600 11807790330 12213513200 12313838487 12594976352 13494617520 14656215840 15743720440 16418451316 16868271900 17992823360 18320269800 18892464528 19679650550 20523064145 20937451200 22491029200 23615580660 24427026400 24627676974 25189952704 26989235040 28732289803 29312431680 29519475825 31487440880 32836902632 33736543800 36640539600 37784929056 39359301100 41046128290 44982058400 47231161320 48854052800 49255353948 53978470080 57464579606 59038951650 61569192435 62974881760 65673805264 67473087600 73281079200 75569858112 78718602200 82092256580 86196869409 89964116800 94462322640 98510707896 102615320725 114929159212 118077903300 123138384870 125949763520 131347610528 134946175200 143661449015 146562158400 157437204400 164184513160 172393738818 188924645280 197021415792 205230641450 229858318424 236155806600 246276769740 262695221056 269892350400 287322898030 307845962175 314874408800 328369026320 344787477636 377849290560 394042831584 410461282900 430984347045 459716636848 472311613200 492553539480 574645796060 615691924350 629748817600 656738052640 689574955272 718307245075 788085663168 820922565800 861968694090 919433273696 944623226400 985107078960 1149291592120 1231383848700 1313476105280 1379149910544 1436614490150 1641845131600 1723937388180 1838866547392 1889246452800 1970214157920 2154921735225 2298583184240 2462767697400 2758299821088 2873228980300 3283690263200 3447874776360 3940428315840 4309843470450 4597166368480 4925535394800 5516599642176 5746457960600 6567380526400 6895749552720 8619686940900 9194332736960 9851070789600 11492915921200 13791499105440 17239373881800 19702141579200 22985831842400 27582998210880 34478747763600 45971663684800 68957495527200 137914991054400
• Sum of all divisors σ(n): 524765165522688
• Sum of proper divisors (its aliquot sum) s(n): 386850174468288
• 137914991054400 is an abundant number, because the sum of its proper divisors (386850174468288) is greater than itself. Its abundance is 248935183413888

Bases of 137914991054400

• Binary: 11111010110111011010110000011010000111001000000₂
• Hexadecimal: 0x7D6ED60D0E40
• Base-36: 1CVX9STB9C

Squares and roots of 137914991054400

• 137914991054400 squared (137914991054400²) is 19020544757535232023759360000
• 137914991054400 cubed (137914991054400³) is 2623218260085286341549600542658269184000000
• The square root of 137914991054400 is 11743721.3460810623
• The cube root of 137914991054400 is 51665.8793195721

Scales and comparisons

• 137,914,991,054,400 seconds is equal to 4,385,270 years, 6 weeks, 9 hours, 20 minutes.
• To count from 1 to 137,914,991,054,400 would take you about ten million, nine hundred sixty-three thousand, one hundred seventy-five years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 137914991054400 cubic inches would be around 4305.5 feet tall.

Recreational maths with 137914991054400

• 137914991054400 backwards is 004450199419731
• The number of decimal digits it has is: 15
• The sum of 137914991054400's digits is 57
• More coming soon!